Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. Some B are T
II. No K is B
Conclusion:
I. No B is K
II. Some T is B
III. Some T are K
Option 1: Both conclusions I and II follows
Option 2: All conclusion follows
Option 3: Both conclusions I and III follows
Option 4: Neither conclusion follows
Correct Answer: Both conclusions I and II follows
Solution : The possible Venn diagram for the given statement is as follows.
Let's analyse the conclusions –
Conclusion (I):
No B is K – From the above diagram, it is clear that there is a relation of no between K and B. Thus, no B is K is true. So, this conclusion follows
Conclusion (II):
Some T is B – From the above diagram, it is clear that some B is T as both B and T circles shared their part. Thus, this conclusion follows.
Conclusion (III):
Some T are K – From the above diagram, it is clear that between T and K no relation is built. As circles of both T and K have no relation. Thus, some T are K are not true. So, this conclusion doesn't follow.
So, conclusions I and II follow. Hence, the
first option
is correct.
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